How can I get higher rsqured of Multivariate Polynomial Regression?

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Rita 2016-2-24

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编辑： Rita 2016-2-24

Hi I used this function with my data and R-squared is 0.19 which is really low.How can I get higher R-squared. Should I use optimization ?

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Greg Heath 2016-2-24

What is "this function" ?

Rita 2016-2-24

编辑：Rita 2016-2-24

在 MATLAB Online 中打开

Multivariate Polynomial Regression

http://www.mathworks.com/matlabcentral/fileexchange/34918-multivariate-polynomial-regression

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Answer 1

John D'Errico 2016-2-24

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Congratulations! You win the award for being the 10 million'th person to WANT a better fit than they got. Sadly, just wanting something is not sufficient. If it was, then the Cubs would have won a World Series long ago. If it was, then every person who ever bought a lottery ticket would have won the first prize. If it was, then we would have achieved peace in the mid-east long ago.

There is no magic to be found. Anyway, you can think of the regression estimate as the result of an optimization ALREADY. A further optimization won't help, because what you got is already the best you can get.

To get better results, you must get better data, with lower variability. You choose a better, more intelligent model, that better represents the data you do have.